This collection of papers reflecting the "state of the art" in computational science is dedicated to Professor Roland Glowinski, Cullen Professor of Mathematics at the University of Houston and Professor of Mathematics at the Universite Pierre et Marie Curie, Paris on the occasion of his 60th birthday. After a chapter reviewing Professor Glowinski's scientific contributions, the volume is subdivided into eleven chapters: Mathematical Analysis; Numerical Linear Algebra; Multigrids, Domain Decomposition and Fictitious Domain Methods; Numerical Schemes and Computational Fluid Dynamics; Applications and Computational Fluid Dynamics; Computational Physics and Chemistry; Computational Electromagnetics; Computational Elasticity and Structures; Optimization; Control; Computers and Systems.